Chapter 17

Pythagorean-Hodograph Curves

Rida T. Farouki


With the advent of a new millenium, it seems appropriate to begin with a brief historical perspective on a topic that entails a remarkable confluence of ideas spanning nearly 4000 years of geometry and algebra. Figure 17.1shows cuneiform tablet No. 322 in the Plimpton Collection of the Rare Book & Manuscript Library, Columbia University. This compilation of sexagecimal numbers, composed in the Old Babylonian Period (˜ 1900 to 1600 BC), was discovered in the 1920s and subsequently deciphered by Neugebauer and Sachs [54] in 1945. Far from being a mere financial or commercial record, the tablet reveals profound knowledge [8] of the fundamental characterization

Figure 17.1 ...

Get Handbook of Computer Aided Geometric Design now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.